Finding the Third Proportional to 105,577 and 224,108

Step by Step Solution

1. Step 1: Write the proportion equation
   105,577 : 224,108 = 224,108 : x
2. Step 2: Convert to fraction form
   105,577/224,108 = 224,108/x
3. Step 3: Cross multiply
   105,577x = 224,108 × 224,108
4. Step 4: Simplify right side
   105,577x = 50,224,395,664
5. Step 5: Solve for x
   x = 50,224,395,664/105,577
6. Step 6: Final answer
   x = 475,713.42